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Stäckel representations of stationary KdV systems - MaRDI portal

Stäckel representations of stationary KdV systems (Q6189327)

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scientific article; zbMATH DE number 7801683

Language	Label	Description	Also known as
English	Stäckel representations of stationary KdV systems	scientific article; zbMATH DE number 7801683

Statements

scholarly article

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Stäckel representations of stationary KdV systems (English)

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10.1016/s0034-4877(23)00083-6

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Maciej Błaszak

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Błażej M. Szablikowski

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Krzysztof Marciniak

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Reports on Mathematical Physics

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publication date

8 February 2024

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full work available at URL

https://arxiv.org/abs/2204.10632

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

KdV hierarchy

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stationary flows

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Stäckel systems

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Miura maps

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MaRDI profile type

MaRDI publication profile

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Inverse problem for periodic finite-zoned potentials in the theory of scattering

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Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials

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Hill's operator with finitely many gaps

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The relationship between Hamiltonian formalisms of stationary and nonstationary problems

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ON THE HAMILTONIAN PROPERTY OF AN ARBITRARY EVOLUTION SYSTEM ON THE SET OF STATIONARY POINTS OF ITS INTEGRAL

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On stationary problems for equations of korteweg-de vries type

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Investigation of Equations of Korteweg-De Vries Type by the Method of Recurrence Relations

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A simple model of the integrable Hamiltonian equation

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On the integrability of stationary and restricted flows of the KdV hierarchy

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A bi-Hamiltonian theory for stationary KdV flows and their separability

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Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. I. The completeness and Robertson conditions

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From Stäckel systems to integrable hierarchies of PDE’s: Benenti class of separation relations

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Stäckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions

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Lax representations for separable systems from Benenti class

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Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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Integrable systems in the realm of algebraic geometry.

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Stationary flows revisited

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Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations

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Natural coordinates for a class of Benenti systems

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A class of nonconservative Lagrangian systems on Riemannian manifolds

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Generalized Stäckel systems

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Mathematics(1 entry)

mardi Publication:6189327

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